The "prediction" of the CEP that dS space has a finite temperature, was spectacularly, if anachronistically verified by the famous calculation of Gibbons and Hawking[1]} which shows that a static object in dS space is constantly bombarded by thermal massless particles of momentum \(\sim (2\pi R)^{-1}\) , and therefore cannot remain static. It will perform a random walk away from the origin by a distance \(d\)  in a time of order \(mR d^2\)  in Planck units and eventually will be swept out of a given mathematical causal patch by the Hubble flow. This is the mechanism by which the system returns to equilibrium, starting from the constrained state with a localized object. Note that the time for equilibration of a system initially at rest on the geodesic scales like \(R^2\)  in this naive calculation. Systems moving relative to the geodesic equilibrate in a time of order \(R\) .
